So it is possible to have both. Active and contingency noted in agent notes.
60 days will go very fast for you! Do you have a virtual tour? Lots of photos. Open Houses?
Flyers and a flyer box. A home Warranty offered and advertised with a rider sign? Ask your listing agent to help you with these items. If you really want the home you have your offer on. Maybe consider a pre inspection and an appraisal. All of these things will help your home to sell faster.
Good luck to you and hope it all works out well.
If you are considering selling your home yourself, it will take longer and you will risk loosing the home you have your offer on.
Have a nice evening.